The bit you quoted is the definition made up by the folks who invented the term:
https://en.wikipedia.org/wiki/Capitalism#EtymologyBut the standard definition I'm using has evolved a bit and is somewhat richer. Quoting the Wikipedia definition:
> Capitalism is an economic system based on the private ownership of the means of production and their operation for profit. Central characteristics of capitalism include capital accumulation, competitive markets, price system, private property, property rights recognition, voluntary exchange, and wage labor. In a capitalist market economy, decision-making and investments are determined by owners of wealth, property, ability to maneuver capital or production ability in capital and financial markets—whereas prices and the distribution of goods and services are mainly determined by competition in goods and services markets.
I think that is a very good and uncontroversial definition of "capitalism", and that is the one I am using. It sounds like you have some non-mainstream definition in mind?